Question

solve the inequality and graph the solution on the line provided. -6x + 6 ≥ 24 answer < > ≤ ≥ or inequality notation: number line:

Explanation:

Step1: Subtract 6 from both sides.

$-6x+6 - 6\geq24 - 6$
$-6x\geq18$

Step2: Divide both sides by - 6 and reverse the inequality sign.

When dividing an inequality by a negative number, the inequality sign flips. So $\frac{-6x}{-6}\leq\frac{18}{-6}$
$x\leq - 3$

Answer:

$\leq$
Inequality Notation: $x\leq - 3$
For the number - line: Plot a closed circle at - 3 (because the inequality is $\leq$) and shade to the left of - 3.